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Finding the Fourth Proportional to 552.40, 824.54 and 515.92

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Solution

The fourth proportional to 552.40, 824.54 and 515.92 is: 770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.40 : 824.54 = 515.92 : x
  2. Step 2: Convert to fraction form
    552.40/824.54 = 515.92/x
  3. Step 3: Cross multiply
    552.40x = 824.54 × 515.92
  4. Step 4: Simplify right side
    552.40x = 425,396.68
  5. Step 5: Solve for x
    x = 425,396.68/552.40
  6. Step 6: Final answer
    x = 770.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.